MAYBE

Problem:
 a(a(x1)) -> b(a(b(c(c(x1)))))
 c(a(x1)) -> x1
 c(b(x1)) -> a(x1)

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> b(a(b(c(c(x1)))))
   c(a(x1)) -> x1
   c(b(x1)) -> a(x1)
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 8,
    
    [c](x0) = x0,
    
    [a](x0) = x0 + 2
   orientation:
    a(a(x1)) = x1 + 4 >= x1 + 18 = b(a(b(c(c(x1)))))
    
    c(a(x1)) = x1 + 2 >= x1 = x1
    
    c(b(x1)) = x1 + 8 >= x1 + 2 = a(x1)
   problem:
    strict:
     a(a(x1)) -> b(a(b(c(c(x1)))))
    weak:
     c(a(x1)) -> x1
     c(b(x1)) -> a(x1)
   Open